The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, such that the sum of their first and last digits should not be more than 8, is

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Canvas Classes · Accepted Answer

🧠 Reading the Question — Split the Constraints Cleanly

We form -digit numbers from the digit set  ( digits, repetition allowed). The conditions:

- The number is strictly greater than .
- The sum of the first digit and the last digit is at most .

The "" forces the leading digit to be in  — the only available digits .

For each choice of the leading digit , the last digit  must satisfy , i.e., . Since , the valid choices for  depend on .

The middle three digits () are unrestricted — each can

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